PSEUDODIFFOPERATORS

PSEUDODIFFERENTIAL OPERATORS AND OPERATOR IDEALS

 Coordinatore IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE 

 Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ

contact info
Titolo: Ms.
Nome: Brooke
Cognome: Alasya
Email: send email
Telefono: +44 207 594 1181
Fax: +44 207 594 1418

 Nazionalità Coordinatore United Kingdom [UK]
 Totale costo 209˙033 €
 EC contributo 209˙033 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2011-IIF
 Funding Scheme MC-IIF
 Anno di inizio 2012
 Periodo (anno-mese-giorno) 2012-06-18   -   2014-06-17

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE

 Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
city: LONDON
postcode: SW7 2AZ

contact info
Titolo: Ms.
Nome: Brooke
Cognome: Alasya
Email: send email
Telefono: +44 207 594 1181
Fax: +44 207 594 1418

UK (LONDON) coordinator 209˙033.40

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equations    hyperbolic    ideals    pseudodifferential    groups    regularity    theory    schatten    belongness    traces    operators    neumann    degenerate    sobolev    lie    von   

 Obiettivo del progetto (Objective)

'This project will be consecrated to the investigation in various independent and intertwined fields in analysis, the theory of pseudodifferential operators, harmonic analysis and the theory of operators ideals. We will apply the theory of pseudodifferential operators to study degenerate elliptic equations, degenerate hyperbolic operators, fractional powers of subelliptic operators, Sobolev estimates. In particular we will investigate regularity on Sobolev spaces, invertibility and the Cauchy problem for degenerate hyperbolic equations. The study of degenerate equations is a field of intenssive research with important applications in physics and engineering. A second field of interest will be the study of pseudodifferential operators on compact Lie groups applying techniques of Weyl-Hörmander calculus. Concerning nuclear operators and Schatten von Neumann ideals we shall be interested in finding sufficient and/or neccesary conditions for the belongness to a such kind of ideals, in particular we will study different ideals of operators on certain Lie groups and investigate the case of pseudodifferential operators. The study of traces is important in its own, traces of pseudodifferential operators play an essential role in the study of geometric and topological invariants. The belongness of a pseudodifferential operator to a Schatten-von Neumann ideal constitutes a way to measure its regularity, the case of localization operators is relevant in time-frequency analysis.'

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